A ball was tossed straight up and its height above the ground was measured with a Texas Instruments CBL™. Enter the values shown in the table below into L1 and L2 of the Stats List editor and create a scatter plot of the data. (This data will also be used in the Quiz, so save the lists.)
Time
(sec)
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0
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0.08
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0.16
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0.24
|
0.32
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0.40
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0.48
|
0.56
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0.64
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0.72
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Height
(meters)
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0.29
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0.57
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0.78
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0.92
|
0.99
|
1.0
|
0.97
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0.89
|
0.74
|
0.53
|
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Find the average velocity from t = 0.16 to t = 0.48.
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Use the Line command to draw the line segment corresponding to the average velocity in Question 1. Display the line segment with the scatter plot of the data.
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Find a quadratic regression equation that fits the data. Round the regression equation coefficients to three decimal places and graph the rounded regression equation together with the scatter plot of the data.
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Use the rounded regression equation to approximate the average velocity from t = 0.16 to t = 0.161
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Compute the symmetric difference quotient at t = 0.16 with h = 0.001 using the rounded regression equation.
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Use the Tangent feature in the Draw menu to approximate the instantaneous velocity at t = 0.16.
Click here to check your answers.
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